Mathematics and Analytics Center of Excellence MACoE We apply Mathematics for a better tomorrow
Publications and Preprints:
Number Theory and Algebra
V.P. Ramesh, M. Makeshwari, M. Prithvi and R. Thatchaayini, Identities from Partition of the Symmetric group S_n , Modular Forms and Related Topics in Number Theory, Springer Proc. Math. Stat., (to appear)
V. P. Ramesh, Makeshwari M and Thatchaayini
R,Non-Wieferich primes and generators of p, JP Journal of Algebra, Number Theory and Applications,
ISSN: 0972-5555 (to appear)
V.P. Ramesh and Gowtham R, Asymptotic Notations and its Applications, The Ramanujan
Mathematical Society (RMS): Mathematics Newsletter, Vol. 28, #4, 10-16, June-September 2017.
International Conference Presentations / Publications:
Various a priori estimates for boundary layers : comparison study,
Minisymposia: Robust Numerical Methods for Singular Perturbation Problems,
9th International Congress on Industrial and Applied Mathematics (ICIAM 2019),
Universitat de Valncia, Spain, 15th-19th July, 2019.
A new a priori estimation of layer region for singularly perturbed boundary value problems,9th International Congress on Industrial and Applied Mathematics (ICIAM-2019),
Universitat de Valncia, Spain, 15th-19th July, 2019.
A note on arithmetic functions on estimating the boundary layer,4th International Conference on Recent Developments in Theory, Computation and Application of Differential Equations,
South Asian University, New Delhi, 21st-23rd January, 2019.
Counting the Sudoku Problems through a new notation,International Conference on Algebra and Number Theory (CANT-2018),
Central University of Tamil Nadu, Thiruvarur, 16th-17th December, 2018.
A lower bound for the number of generators of p^l for all l ≥ 1,Conference on NumberTheory,
Kerala School of Mathematics, Kozhikode, 10th-14th December, 2018.
Harmonic function to estimate the boundary/interior layer, International Conference on Mathematical Modelling and Computation,
South Asian University, New Delhi, 1st-3rd December, 2018.
A new layer resolving mesh,84th Annual Conference of Indian Mathematical Society - An international meet,
Shri Mata Vaishno Devi Univeristy, Jammu, 27th-30th November, 2018.
A note on Normal Sequences in Finite Abelian Group,The 33rd Annual Conference of The Ramanujan Mathematical Society,
University of Delhi, 1st-3rd June, 2018.
A recursive relation for the computation of generators of p, International Conference on Non-linear Differential Equations:Theory, Modelling and Computations,
SRM University, 8th-9th December, 2017.
Modified S(l) mesh: a non-uniform mesh for singularly perturbed convection-diffusion problem, International Conference on Current Trends in Theoretical and Computational Differential
Equations with Applications,
South Asian University, New Delhi, 1st-5th December, 2017.
Mathematics to Analyse the limitations of Machines on Problem Solving: Sudoku and
Complexity of Sudoku,Combinatorics and Number Theory Meet,
Harish-Chandra Research Institute, Allahabad, 19th-23rd February, 2017.
Is P=NP? Permutations and its applications to Sudoku,International Conference on Advances in Scientific Computing,
Indian Institute of Technology Madras, India, 28th-30th November, 2016.
Permutation and its applications to Sudoku: A new theory,International Conference on Mathematical Modelling, Differential Equations, Scientific Computing & Applications,
Indian Institute of Technology Kanpur, 27th-29th March, 2016.
Health Care Big Data Analytics - Predicting Diabetes,International Conference on Big Data Analytics - SAMAROH 2016,
Hyderabad, 11th-12th February, 2016.
Numerical algorithm for a model of neuronal variability,6th International Congress on Industrial and Applied Mathematics (ICIAM-2007),
Zurich, Switzerland, 16th-20th July, 2007.
Higher order finite difference methods for second order singularly perturbed delay dif-
ferential equations,SIAM (Society for Industrial and Applied Mathematics) conference on Computational Science and Engineering,
Costa Mesa, California, U.S.A., 19th-23rd February, 2007.
Higher order methods with suitable mesh for numerical solution of singularly perturbed
delay differential equations,14th International Conference of the Forum for Interdisciplinary Mathematics,
Indian Institute of Technology Madras, 6th-8th January, 2007.
Ph.D. Thesis Guidance:
Thatchaayini R, A Note on Gauss's Theorem on primitive Roots (2018)
Priyanga B, Design and analysis of an a priori mesh for singularly perturbed problems (2018)
Prithvi M, Error estimates of numerical algorithms for singularly perturbed problems with discontinuous data (2019)
M.Phil. Thesis Guidance:
Saswati Sinha, Primitive roots in contrast to Semi-Primitive roots modulo n (2019)
Integrated M.Sc. Thesis Guidance: (1 year duration)
Aarthi T, A few computations in the multiplicative group modulo n (2019)
Ashish Sahoo, Benchmarking Machine Learning Algorithms for Optical Characters Recognition: Which one does it better? (2019)
Anagha N V, Computing the Upper Bound of Phi Function of RSA Cryptosystem (2019)
Anjali Sushil V, Relation Between Orbits and Strongly unequal permutations in S n and its Application in Solving sudoku (2019)
Bharathi K, A Note on S. Sivasankaranarayana Pillai’s Theorem (2019)
Mathew Alex, Pneumonia Detection on Chest X-Rays with Machine Learning (2019)
Rupika T, Hand written digit Recoginition: An Empirical Comparison of Machine Learning Algorithms (2019)
Sivaranjani N, Credit rating of consumers with little financial history - Risk Analysis (2019)
Anjali P V, Stirling Numbers and Transpositions (2018)
Athira S, Sales forecast using the method of Random forest (2018)
Eyamuna N, Machine learning algorithm for image classification to distinguish dogs from cats (2018)
Geethanjali K, Deep learning and image categorization using supervised learning algorithms for Human- Computer interaction (2018)
Kalaivani M, Machine learning algorithm to understand the deforestation of the amazon from space (2018)
Kanimozhi C, Monitoring invasive species by convolutional neural network (2018)
Mageshpriya D, A note on retractable module (2018)
Manna Elza Joseph, Some techniques in image segmentation (2018)
Rajeswari E, Market basket analysis using F1 score maximization (2018)
Aswathi KV, Big data analytics on customer behavior using light GBM model (2018)
Aishwarya R, Big Data Retail Analytics for Demand Planning (Using Artificial Neural Network) (2017)
Favas L, Supervised Machine Learning Using Convolutional Neural Networks for Image Classification (2017)
Jobin Idiculla, A Naive Bayes model for aspect-level sentiment analysis of text data (2017)
Makeshwari M, Zero-sum problems in finite groups (2017)
Preethi S, Talking Data Mobile User Demographics - Big Data Analytics (2017)
Vijitha S, The Multinomial Logistic Regression for Big Data Analytics (2017)
Aarthika, Computational number theory and visualization using open source software R (2016)
Anitha L, Some Identities based on Cantors idea of height of the polynomial - A new concept (2016)
Divya D, Pedagogy of machine learning using artificial neural network (simulating the human brain) (2016)
Gowtham R , Computability and Complexity Analysis of Decision Problems (Charles Babbage - David Hilbert - Alan Turing) (2016)
Preethi S, Artificial Neural Network based big data analytics for Winton Stock Market Challenge (Supervised learning system) (2016)
Vengadesan N, Computational Number Theory and Visualization using Python (2016)
Aarthi D, Computation of American option by Crank-Nicholson Method (2015)
Manjula R, Computation of American Option (2015)
Prithvi M, Sudoku and Directional Change of Lexicographic Permutations: A new theory (2015)
Thatchaayini R, Combinations & Point wise Unequal Permutations with Applications to Sudoku (2015)
Priyadharshini M, Open Source Software for Big Data Analytics : R (2015)
Priyanga B, Regression for Big Data Analytics using R and Python (2015)
Shiva Prakash YV, Health care Big Data Analytics - Predicting Diabetes: A Case Study (2015)
Sowmitha R, Open Source Software for Big Data Analytics : Python (2015)
INSA Summer Intership Guidance
Aayushi Kundalia, Big data analytics using Deep Learning Algorithms (2019)
Sooraj Gupta, A few Predictive Machine Learning Algorithms (2019)
Sahil Unagar, Deep Learning for Large Scale Image Classification Problem (2019)
Hitha P R, Davenport Constant and Wieferich Primes (2018)
Maria Jose K, Normal Order of ω(n) and Ω(n) (2018)
Rohit Upadhya, Image Classification Using Convolutional Neural Networks (2018)
Kutty Kumar, Intellectual Asset Valuation - Big Data Analytics (2018)
Abrar Ahmad, Image classification Using Convolutional Neural Network (2017)
Anjana Rajagopal, Comparison of different M estimators of Robust regression and Interactive visualization of data using R (2017)
Febin John Sam, Deep Network Learning using (SnLU) Smooth non-linear unit and Medical Machine Learning with Tensorflow (2017)
If you have similar interest and want to chat with us, feel free to drop in through vpramesh@gmail.com